Which store offers the better incentive if Katelyn wants to buy two pairs of shoes with a regular price of

$45 each? Find the difference in the discount amounts between the two stores.
Shoe Land BOGO Event: Buy 1, Get 2nd Pair 50% Off
Everything Shoe: 30% Off Any Pair of Shoes $35 or More

First, let's calculate the discount amount at Shoe Land BOGO Event.

The regular price of 2 pairs of shoes at $45 each is 2 * $45 = $<<2*45=90>>90.
At Shoe Land BOGO Event, Katelyn will pay the regular price for the first pair of shoes, which is $45, and get a 50% discount on the second pair.
This means the second pair will cost 50/100 * $45 = $<<50/100*45=22.5>>22.5.
So, the total price Katelyn will pay at Shoe Land BOGO Event is $45 + $22.5 = $<<45+22.5=67.5>>67.5.

Now, let's calculate the discount amount at Everything Shoe.
To avail the 30% discount at Everything Shoe, the price of each pair of shoes must be $35 or more.
Since the regular price is $45, Katelyn will receive a 30% discount.
This means the discount amount on each pair of shoes is 30/100 * $45 = $<<30/100*45=13.5>>13.5.
So, Katelyn will pay $45 - $13.5 = $<<45-13.5=31.5>>31.5 for each pair of shoes at Everything Shoe.
Thus, the total price Katelyn will pay at Everything Shoe is 2 * $31.5 = $<<2*31.5=63>>63.

The difference in the discount amounts between the two stores is $67.5 - $63 = $<<67.5-63=4.5>>4.5.